Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviations is 316.
What is the standard deviation of the data set?
Round the answer to the nearest tenth.

Answers

Answer 1
The formula for the sum of the squares of the deviations is
SS = s² (N -1)

We are given
SS = 316
N = 9

Substituting
316 = s² (9 - 1)
Solving for s
s = 6.28

The standard deviation is 6.28

Related Questions

i need help with question 2!!!! please help soon this is graded and i will give u brainliest!!!

Answers

Answer:

12.

Step-by-step explanation:

Area = base * perpendicular height

= 6 * 2 = 12.

Answer:

12 square units

Step-by-step explanation:

6 x 2 = 12

The ends of the parallelogram are triangles, so you can just multiply the base times height.

which value for s will make this equation true? s(11-s)=24

answer choices:
8
4
6
5

Answers

8 cause 88-64=24(you have to distribute)

Now that you’ve made the cake, it’s time to go shopping for a present. You have $30
to spend and you decide you want to buy your friend a book and an iTunes gift card.
The book you want is $15.99 regular price, but is on sale for 25% off. After you buy
the book, how much will you have left for the gift card (round up to the nearest
dollar)?

Answers

Answer:

18.0075

Step-by-step explanation:

Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge

Answers

Answer:

As both prism have the same base area and height there volumes are the same.

Step-by-step explanation:

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                              = 5 units*12 units

                             = 60 cubic units

As both prism have the same base area and height there volumes are the same.

The length of the longer side is the length of the triangle itself.

For example the length of longer side of prism A maybe 10 units but width may be 1/2 units

and

the length of longer side of prism B maybe 15 units but width may be 1/3 units

the total base area remains the same.

Answer:60 cubic units

Step-by-step explanation:

An adult gorilla will eat about 5,425 pounds of food in a 31-day month. What is the average amount a gorilla will eat every day?

Answers

Answer: 175

Step-by-step explanation: Do 5425 divided by 31

Answer:

A gorilla will eat an average of 175 pounds of food a day.

Step-by-step explanation:

The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.

5425/31 = 175.

Factor the following expression
24g2 - 18g

Answers

Answer:

6g(4g - 3)

Step-by-step explanation:

24g² - 18g

Common factor:

6g

Factored equation:

6g(4g - 3)


Someone answer this please

Answers

Answer:

y = - 27/5

Step-by-step explanation:

4(3) - 5y = 39

12 - 5y = 39

-5y = 39 - 12 = 27

y = - 27/5

David drove 36 mph and reached camp in 1.5 hours. How long will it take him to drive home if he takes the same route and drives 45 mph?

Answers

Answer:

1.2 hours, or 72 minutes

Step-by-step explanation:

If David drove for 1.5 hours at 36 mph, that means that he traveled a distance of (36*1.5) = 54 miles.

If he takes the same route at a speed of 45 mph instead, he will reach his destination in (54/45) = 1.2 hours, which is equivalent to 72 minutes.

Answer:

1.2 hours

Step-by-step explanation:

to find distance for 36 mph

0.5 hour is 18 miles

so 36m+18m

= 54 miles for 1.5 hours

and to find time for 45 mph

[tex]54 \div 45 = \frac{6}{5} \\ = 1.2[/tex]

What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

1911.5 cm^3

Step-by-step explanation:

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Step-by-step explanation:

The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)

Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.

If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]

[tex]V \approx 1911.498\,cm^{3}[/tex]

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

821% of what number is 821?


(I'll mark brainliest if you give a valid answer)​

Answers

Answer:

100

Step-by-step explanation:

100×821/100= 821

so the answer is 100

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!! (and it’s not multiplying. i already tried that)

Answers

Answer:

120cm³

Step-by-step explanation:

The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.

So, let's multiply our dimensions, 4cm × 6cm × 5 cm.

4 · 6 · 5 = 120

4 times 6 equals 24, then 24 times 5 is 120.

The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.

Good luck :)

PLEASEE help I’m stuck on this

Answers

Answer:

x = √149

Step-by-step explanation:

Compartmentalize the odd figure into a rectangle (with sides 3 and 7) and a triangle (with sides 10 and x). Now, that you have a triangle, you can use the rectangle underneath to find the bottom side of the triangle--it is 7. The triangle that has been formed is a right triangle, so we can use the Pythagorean Theorem to find x, which is the hypotenuse.

10² + 7² = x²

100 + 49 = x²

149 = x²

√149 = x

Answer:

7√2

Step-by-step explanation:

Remark

Draw another line parallel to 7.

Move to the other end of 3

that makes the vertical leg on the left 10 - 3 = 7

You now have a smaller right triangle.

Equation

a = 7

b = 7

c = x

Solution

x^2 = 7^2 + 7^2

x^2 = 49 + 49

x^2 = 98

x^2 = 7 * 7 *2

sqrt(x^2) = sqrt(7 * 7 * 2)

The rule about square roots is for every pair of factors you can take one out of the square root sign and throw the other one away.

x = 7 sqrt(2)

Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor

Answers

Answer:

Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.

Step-by-step explanation:

Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno

Cos A = b² + c²-a² / 2bc ------ ecuación A

Cos B = a² + c²-b² / 2ac ------- ecuación B

y Cos C = b² + a²-c² / 2ab ------ ecuación C

Si tomamos a = 29, b = 35 y c = 48

Luego, poniendo los valores

Cos A = b² + c²-a² / 2bc

Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)

Cos A = 1225 + 2304-841 / 3360

Cos A = 0,8

A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.

similar

Cos B = a² + c²-b² / 2ac

Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)

Cos B = 1920/2784

B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados

Y

Cos C = b² + a²-c² / 2ab

Porque C = 1225 + 841-2304 / 2 * 29 * 35

Cos C = -0,11724

C = cos ⁻¹ -0,11724

C = 96,73 = 97 grados

la altura se puede calcular usando la fórmula

h = b. sin C = c. Pecado B

h = 35 sin 97 °

h = 34,75 = 35 cm

English

Using the cosine rule we can find the measures of the angles of the scalene triangle

Cos A= b²+c²-a²/ 2bc------ equation A

Cos B = a²+c²-b²/ 2ac------- equation B

and Cos C= b²+a²-c²/ 2ab------ equation C

If we take a= 29 , b= 35 and c= 48

Then by putting the values

Cos A= b²+c²-a²/ 2bc

Cos A= (35)² + (48)² - (29)²/ 2(35) (48)

Cos A= 1225+2304-841/ 3360

Cos A= 0.8

A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.

Similarly

Cos B = a²+c²-b²/ 2ac

Cos B = (29)²+(48)²-(35)²/ 2(29) (48)

Cos B=  1920/2784

B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees

And

Cos C= b²+a²-c²/ 2ab

Cos C= 1225+841-2304/2*29*35

Cos C= -0.11724

C= cos ⁻¹ -0.11724

C= 96.73= 97 degrees

the height can be calculated using the formula

h= b. sin C= c. Sin B

h= 35 sin 97°

h= 34.75= 35 cm

The angles are 36, 47 and 97 degrees and height is 35 cm

3. Desde un punto del suelo se ve un pararrayos bajo un ángulo de 60°, si nos alejamos 3m, vemos el pararrayos con un ángulo de 45°. Calcule la altura del pararrayos.

Answers

45 ructions fav is a great deal on my iPad so I can get a new update and I can do more to make more than I was making

Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each additional mile. Apopulation in a town decreases by 15% each year. An airplane flying at an altitude 33,000 feet descends at a rate 20 feet per minute. A pizza restaraunt charges $5.50 per pizza, and $0.50for each additional topping. A cell phone doubles in time every two years

Answers

The taxi, the airplane, and the pizza can be shown as linear functions

Answer:

Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

Step-by-step explanation:

Linear function These are those function which are drawn as straight line graph with constant slope.

Here  

Taxi charges  (y) = $2 + 1.50 ( x )

Airplane descends with the slope constant slope of 20 feet per minute.

Pizza charge ( y ) = $5.50 + 0.50 ( x )

Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

Click here to know more about the Linear function.

https://brainly.com/question/4025726

#SPJ2

Find the distance between points.

Answers

Answer:

4 Units

Step-by-step explanation:

Here, The distance between two points is 4 units

-TheUnknownScientist

Find two numbers that up to 158. The greater number is 40 more than the lesser number.

Answer:
A. 70 and 110
B. 99 and 59
C. 80 and 78
D. 98 and 60
E. 100 and 68

Answers

99 and 59

X=big number
X-40 = small

X+ x-40 =158
2X -40=158
2X =198
X=99. Big number is 99
99-40 =59

99+59=158

Write the equation of the line graphed at the right.

Answers

Answer:

x = -3

Step-by-step explanation:

You can see on the graph, it’s going straight vertically. The x value will always be -3 while the y value is infinite.

Answer:

x = -3

Step-by-step explanation:

Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expression. Write a second algebraic expression that is different from, but equivalent to, your first expression.

Answers

Answer:

1 ÷ 2(9 + x)

4.5 + 0.5x

Step-by-step explanation:

Given that

We write the expression i.e. half of the sum of $9 and a number

Here we need to write the two expression that is different from each other

So,

Let us assume the number be x.

Now The first equation depend on the information given will be:

= 1 ÷ 2(9 + x)

And, The second equation is

= (9 + x) ÷ 2

= 4.5 + 0.5x

PLS HELP!!
Find the length of AB.

Answers

Answer:

About 9.4 units

Step-by-step explanation:

Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?

Answers

Answer:

The total cost of Raul's 32%

i just want friends.. LOL but hi im from the U.S. Im friendless.. PAIN but ill tell you about me, I like math and biology. my first language is Spanish, I know American sign language. i love helping others. my favorite movie is matilda and coco:) and I like the number 8, lets be friends:)

Answers

Hi nice to meet u ! U seem like such a sweet cool person-----------------------------------------------------------i need friends too :)

Answer:

hi same im from the us and my fist language is Spanish also i hate math but like history and i like anime favorite anime is AOT favorite manga is berserk and favorite game to play is terraria

Step-by-step explanation:

hiii please help i’ll give brainliest:)

Answers

Answer:

A. Mountains and water divided the land.

Step-by-step explanation:

Can sides of a triangle have lengths of 3, 11, and 12 ??

Answers

Answer:

QUESTION:

Can sides of a triangle have lengths of 3, 11, and 12 ??

ANSWER:

Yes. It's called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.

90 - 2c = 60

A. 7
B. 18
C. none of these
D. 15

Answers

Answer:

D. 15

Step-by-step explanation:

90 - 30 = 60

2 • 15 = 30

the answer is 15

53% of what number is 384?
i got 724.52 how do i round it to the hundredths place?

Answers

Answer:

thats right.

Step-by-step explanation:

the first place after the decimal is tenths, second, hundredths, third thousands, and so on

How many cm are in 26 in? (1 in = 2.54 cm)​

Answers

Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

Answer:

66.04 cm

Step-by-step explanation:

All you need to do is multiply 2.54 cm twenty-six times for your answer.

     2  .  5      4

2║40║10 ║0.8  ║→ 50.8

6║ 12║ 3 ║0.24║→ 15.24

50.8 + 15.24 = 66.04

Can someone help me with this problem please!! i’ll give brainliest!

Answers

Answer:

its b i think dont trust though

Step-by-step explanation:


Graph the line that represents the equation y=-2/3x + 1​

Answers

Answer:

Use desmos graphic calculator

Step-by-step explanation:

Can someone please. help Ill give branliesttttt

Answers

Answer:

3rd one!

Step-by-step explanation:

I think it’s B but I am not sure sorry dude

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